Pith Number

pith:N2CH64F5

pith:2025:N2CH64F5OZWYGWNMBPGL6L6FL2

not attested not anchored not stored refs pending

On the spectral radius of the ratio of Girko matrices

David Garc\'ia-Zelada, Djalil Chafa\"i, Yuan Yuan Xu

arxiv:2510.18669 v3 · 2025-10-21 · math.PR · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2CH64F5OZWYGWNMBPGL6L6FL2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-03T01:05:45.932868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e847f70bd766d8359ac0bccbf2fc55ea879dbd8404f99268a7191cedfb4588b

Aliases

arxiv: 2510.18669 · arxiv_version: 2510.18669v3 · doi: 10.48550/arxiv.2510.18669 · pith_short_12: N2CH64F5OZWY · pith_short_16: N2CH64F5OZWYGWNM · pith_short_8: N2CH64F5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N2CH64F5OZWYGWNMBPGL6L6FL2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6e847f70bd766d8359ac0bccbf2fc55ea879dbd8404f99268a7191cedfb4588b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f30202cb5f9d7e49d54bf06dccbfdc842ca80910ec31159c478c69982fa9109",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-10-21T14:24:19Z",
    "title_canon_sha256": "5a369c17ae7842d9019a15327b5defc0c8141efa46ddeb1aad638237439e3e88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.18669",
    "kind": "arxiv",
    "version": 3
  }
}